Question

Using appropriate properties, find the value of:$-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}.$

Answer 1

First Step :

we will multiply the numbers given

$-\frac{2}{3}\times \frac{3}{5}=-\frac{2}{5}$

We will get answer $-\frac{2}{5}$ after cancelling $3$ from the equation.

Similarly for $-\frac{3}{5}\times \frac{1}{6}$ cancelled $3$ by $6$

$(\frac{3}{6}=2)$

$-\frac{3}{5}\times \frac{1}{6}=-\frac{1}{10}$

Thus the new equation is

$-\frac{2}{5}+\frac{5}{2}-\frac{1}{10}=\frac{-4+25-1}{10}$

Thus, answer will be $2.$